Find the circumcenter of a triangle with vertices o(0, 0), v(0, 26), and w(−10,0).

Circumcenter is .

Step-by-step explanation:

Given:

The three vertices of triangle OVW are .

Circumcenter is a point inside the triangle which is equidistant from each of the vertices of the triangle.

Let be the circumcenter.

Distance between two points and  is given as:

So, as per the definition of circumcenter, distance of point from point is equal to distance of point from point .

So, OC = VC

or

.

Similarly, distance of point from point is equal to distance of point from point .

or

.

Therefore, the circumcenter of the triangle with the given vertices is .

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answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.